Zhang, Huimin; Zhang, Runsen; Masarati, Pierangelo Improved second-order unconditionally stable schemes of linear multi-step and equivalent single-step integration methods. (English) Zbl 07360505 Comput. Mech. 67, No. 1, 289-313 (2021). MSC: 74-XX PDF BibTeX XML Cite \textit{H. Zhang} et al., Comput. Mech. 67, No. 1, 289--313 (2021; Zbl 07360505) Full Text: DOI OpenURL
Arnold, Martin DAE aspects of multibody system dynamics. (English) Zbl 1402.65084 Ilchmann, Achim (ed.) et al., Surveys in differential-algebraic equations IV. Cham: Springer (ISBN 978-3-319-46617-0/pbk; 978-3-319-46618-7/ebook). Differential-Algebraic Equations Forum, 41-106 (2017). MSC: 65L80 65L05 70E55 PDF BibTeX XML Cite \textit{M. Arnold}, in: Surveys in differential-algebraic equations IV. Cham: Springer. 41--106 (2017; Zbl 1402.65084) Full Text: DOI OpenURL
Köbis, Marcus A.; Arnold, M. Convergence of generalized-\(\alpha\) time integration for nonlinear systems with stiff potential forces. (English) Zbl 1359.70066 Multibody Syst. Dyn. 37, No. 1, 107-125 (2016). MSC: 70E55 PDF BibTeX XML Cite \textit{M. A. Köbis} and \textit{M. Arnold}, Multibody Syst. Dyn. 37, No. 1, 107--125 (2016; Zbl 1359.70066) Full Text: DOI OpenURL
Arnold, Martin; Brüls, Olivier; Cardona, Alberto Error analysis of generalized-\(\alpha\) Lie group time integration methods for constrained mechanical systems. (English) Zbl 1309.70016 Numer. Math. 129, No. 1, 149-179 (2015). MSC: 70F20 70H45 65L80 65L20 PDF BibTeX XML Cite \textit{M. Arnold} et al., Numer. Math. 129, No. 1, 149--179 (2015; Zbl 1309.70016) Full Text: DOI OpenURL
Parida, Nigam Chandra; Raha, Soumyendu Regularized numerical integration of multibody dynamics with the generalized \(\alpha \) method. (English) Zbl 1220.70009 Appl. Math. Comput. 215, No. 3, 1224-1243 (2009). MSC: 70E55 65L80 PDF BibTeX XML Cite \textit{N. C. Parida} and \textit{S. Raha}, Appl. Math. Comput. 215, No. 3, 1224--1243 (2009; Zbl 1220.70009) Full Text: DOI OpenURL